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DIF分析在小樣本情境中的偵測效果-以視障生和普通生在國中基測數學科之DIF爲例

Detecting Differential Item Functioning in Small Sample Size Conditions: An Empirical Study of the DIF Detection in Basic Competence Test for Junior High School Students

摘要


本研究最主要的目的是為瞭解DIF在小樣本情境下的偵測效果,並檢測其方法在實際資料上之效果。研究分為兩個部分:研究一為模擬研究,研究二利用實證資料進行DIF分析。研究一主要目的在於瞭解不同樣本人數、不同方法等變項在各操弄情境下對於偵測效果的影響,結果顯示若控制在能力有差異的情況下,對於焦點組人數較少(如100人)時,採用MH-2 搭配樣本人數100/1000(焦點組/參照組)的組合具有較佳效能。研究二參考研究一的結果,對於2005年第一次國中基測數學科視障生和普通生的實際作答反應進行DIF分析,結果顯示該次測驗中有兩題產生DIF,文中對於可能原因予以解釋。

關鍵字

DIF MH 小樣本 視障生 模擬研究

並列摘要


The purpose of the research is to explore the efficiency of DIF detection when the sample size of focal group is small. There are two parts in the research; Study 1 is a simulation study and Study 2 is an empirical study. The aim of Study 1 is to examine the efficiency of DIF detection in different sample size ratios of reference and focal group and in different methods. The dependent variables are power and type Ⅰ error. The result of Study 1 suggests that MH-2 combined with 100/1000 reach the DIF detecting power of 0.703 and type 1 error of 0.073 when ability distribution is controlled unequal. Study 2 is an empirical study for detecting the DIF item between visual impaired and general students of the basic competence test for junior high school students in BCTEST. The result of Study 2 suggests that there be two DIF items in 2005 BCTEST, and discussion about the reason causing DIF is also provided.

參考文獻


蘇旭琳(2007)。DIF分析在小樣本情境中的效果以視障生和普通生在國中基測數學科之DIF為例(碩士論文)。國立台灣師範大學教育與心理輔導研究所。
盧雪梅(2000)。Mantel-Haenszel DIF程序之第一類錯誤率和DIF嚴重度分類結果研究。測驗年刊。47(1),57-71。
鄭靜瑩(2005)。國小視覺障礙學生數學能力及其相關因素之研究(博士論文)。國立台灣師範大學特殊教育研究所。
Bradley, J. V.(1978).Robustness.The British Journal of Mathematical & Statistical Psychology.31,144-152.
Clauser, B.,Mazor, K. M.,Hambleton, R. K.(1993).The effects of purification of the matching criterion on the identification of DIF using the Mantel-Haenzel procedure.Applied Measurement in Education.6(4),269-279.

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